While visiting the albert michelson exhibit at clark university, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every t = 6.9 seconds.

Answers:

a) 0.144 Hz

b) 0.904 rad/s

c) 11.818 m

d)

Explanation:

The rest of the question is written below:

a) Calculate the frequency of oscillation (in Hertz) of the chandelier

b) Calculate the angular frequency of the chandelier in radians/ second

c) Determine the length in meters of the chandelier

d) That evening, while hanging out in JJ. Thompson's House O' Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.01 seconds slower, so the period is . Determine the acceleration due to gravity in at the club.

a) The frequency has an inverse relation with the period :

(1)

Where

(2)

b) The angular frequency is given by:

(3)

(4)

(5)

c) Another expression for the period is:

(6)

Where:

is the length of the pendulum

is the mean acceleration due gravity

Isolating :

(7)

(8)

(9)

d) In this case the period of the pendulum is . So, we will use equation (7) with this period and find :

(10)

(11)

(12) This is the acceleration due gravity at the place, which is near the mean value of